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Zbl 0933.39034
Bohner, M.; Došlý, O.; Kratz, W.
A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems.
(English)
[J] Appl. Math. Lett. 12, No.2, 101-106 (1999). ISSN 0893-9659

Summary: The main result of the paper is a Sturmian-type separation theorem for the recessive solutions of linear Hamiltonian difference systems. The assumptions on the Hamiltonian systems allow to include the study of Sturm-Liouville difference equations of higher order. As an application of the main result, some Sturmian-type comparison results are obtained.
MSC 2000:
*39A12 Discrete version of topics in analysis

Keywords: Sturm separation theorem; focal point; recessive solutions; linear Hamiltonian difference systems; Sturm-Liouville difference equations

Cited in: Zbl 1258.39001

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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